Some Notes on Barreledness in Locally Convex Cones
Sign Up to like & getrecommendations! Published in 2021 at "Bulletin of The Iranian Mathematical Society"
DOI: 10.1007/s41980-020-00519-x
Abstract: In this paper, we verify a relation between the symmetric continuity of lower semicontinuous extended seminorms on a locally convex cone with respect to the symmetric topology and barreledness of the locally convex cone. The… read more here.
Keywords: locally convex; convex cones; convex cone; notes barreledness ... See more keywords
An overdetermined problem of anisotropic equations in convex cones
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DOI: 10.1016/j.jde.2019.10.003
Abstract: Abstract In this paper, we study some overdetermined boundary value problems for anisotropic elliptic PDEs in a bounded domain Ω in a convex cone of R n . By using some integral identities and maximum… read more here.
Keywords: anisotropic equations; overdetermined problem; problem anisotropic; equations convex ... See more keywords
Convex cones spanned by regular polytopes
Sign Up to like & getrecommendations! Published in 2022 at "Advances in Geometry"
DOI: 10.1515/advgeom-2021-0041
Abstract: Abstract We study three families of polyhedral cones whose sections are regular simplices, cubes, and crosspolytopes. We compute solid angles and conic intrinsic volumes of these cones. We show that several quantities appearing in stochastic… read more here.
Keywords: regular polytopes; polytope; cones spanned; geometry ... See more keywords